The following terms are often used in the study of waves:

Wave number: k

Frequency: f

Wavelength: λ

Period: T

Phase velocity: vp

Angular frequency: ω

The following equations shows the relationship between these terms.

Wave number

k = 2∏/λ

Frequency

f = 1/T = ω0 / 2∏

Angular Frequency

ω0 = 2 · ∏ · f = 2∏ / T

Phase Velocity

vp = ω / k = λ · f

Period

T = 2∏ / ω0 = 2∏ · √(m/k)

Harmonic Wave

x = A · cos(ω0 · t + ø)

Where ø is the phase constant and A is the amplitude.